Load maximum behavior in the inflation of hollow spheres of incompressible material with strain-dependent damage
Load maximum behavior in the inflation of hollow spheres of incompressible material with strain-dependent damage
复制标题
具有应变相关损伤的不可压缩材料空心球膨胀时的负载最大行为
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
K. Rajagopal
中科院分区：
文献类型：
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作者：
H. E. Huntley;A. Wineman;K. Rajagopal
卡罗尔已经证明了三种性质不同的情况下的行为在负载膨胀关系的空心不可压缩各向同性弹性球。这些情况中的每一种都与单轴压缩（或相等的双轴拉伸）中的材料响应有关。对于“A型”材料，载荷随着膨胀而单调增加;对于“B型”材料，载荷单调增加，然后减小;对于“C型”材料，载荷单调增加，减小，然后再增加。本文讨论了橡胶材料发生微结构变化或损伤时，载荷-膨胀关系的单调性。进行了分析，使用材料的本构方程进行连续断裂和重组的大分子结。结果的情况下，当这导致软化的响应。对于“类型A”，充分的软化可导致单调性的损失;对于“类型B”，软化导致在较小的充气水平和较低的负载下的单调性的损失。
Carroll has shown three qualitatively different cases of behavior in the load-expansion relation for the inflation of hollow incompressible isotropic elastic spheres. Each of these cases was related to material response in uniaxial compression (or equal biaxial extension). For "type A" materials, load increases monotonically with expansion; for "type B" materials, load increases monotonically and then decreases; for "type C" materials, load increases monotonically, decreases, and again increases. The present work discusses the monotonicity properties of the load-expansion relation when rubbery materials undergo microstructural change or damage. The analysis is carried out using a constitutive equation for materials undergoing continuous scission and reformation of macromolecular junctions. Results are presented for the case when this leads to softening of response. For "type A", sufficient softening can cause loss of monotonicity; for "type B", the softening leads to loss of monotonicity at smaller levels of inflation and lower loads.